Matrix_nxn< T, N > Class Template Reference

Represents a nxn matrix of type T. More...

#include <Matrix_nxn.h>

List of all members.

Public Member Functions
	Matrix_nxn ()
	Standard constructor.
	Matrix_nxn (const T *v)
	Constructor that initializes the matrix with the values in the passed array.
	Matrix_nxn (const Matrix_nxn< T, N > &m)
	Copy constructor.
	~Matrix_nxn ()
	Destructor.
Matrix_nxn< T, N > &	operator= (const Matrix_nxn< T, N > &m)
	Copy operator.
Matrix_nxn< T, N > &	operator= (const T *m)
	Copy operator.
void	copyTo (T *m) const
	Copies contents of matrix to passed array.
const Vector_n< T, N > &	operator[] (size_t i) const
	Constant row vector access operator.
Vector_n< T, N > &	operator[] (size_t i)
	Row vector access operator.
Matrix_nxn< T, N > &	operator+= (const Matrix_nxn< T, N > &m)
	Operator +=.
Matrix_nxn< T, N > &	operator-= (const Matrix_nxn< T, N > &m)
	Operator -=.
Matrix_nxn< T, N > &	operator *= (const Matrix_nxn< T, N > &m)
	Operator *=.
Matrix_nxn< T, N > &	operator/= (const Matrix_nxn< T, N > &m)
	Operator /=.
Matrix_nxn< T, N >	transpose ()
	Transposes this matrix.
Matrix_nxn< T, N >	invert ()
	Inverts this matrix.
Matrix_nxn< T, N >	invert2 ()
	Inverts this matrix.
Vector_n< T, N >	solve (Vector_n< T, N > b) const
	Solves the system A*x=b where A is the actual matrix.
T	det () const
	Returns determinant of this matrix.
Static Public Member Functions
Matrix_nxn< T, N >	identity ()
	Returns the identity matrix with same dimensions like this matrix.
Private Attributes
Vector_n< T, N > *	content
	The vectors holding the contents of the matrix.

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Detailed Description

template<class T, size_t N>
class Matrix_nxn< T, N >

Represents a nxn matrix of type T.

Matrix_nxn represents a nxn matrix of type T. The class supplies standard arithmetic operations.

Definition at line 44 of file Matrix_nxn.h.

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Constructor & Destructor Documentation

template<class T, size_t N> Matrix_nxn< T, N >::Matrix_nxn (   )  [inline]

Standard constructor. Initializes the matrix with values supplied by the standard constructor of T. Complexity: n^2 Definition at line 56 of file Matrix_nxn.h.

template<class T, size_t N> Matrix_nxn< T, N >::Matrix_nxn (  const T *  v  )  [inline]

Constructor that initializes the matrix with the values in the passed array. Parameters: v  Array with initialization values Complexity: n^2 Definition at line 74 of file Matrix_nxn.h.

template<class T, size_t N> Matrix_nxn< T, N >::Matrix_nxn (  const Matrix_nxn< T, N > &  m  )  [inline]

Copy constructor. Parameters: m  Matrix to copy Complexity: n^2 Definition at line 91 of file Matrix_nxn.h.

template<class T, size_t N> Matrix_nxn< T, N >::~Matrix_nxn (   )  [inline]

Destructor. Complexity: n^2 Definition at line 105 of file Matrix_nxn.h.

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Member Function Documentation

template<class T, size_t N> Matrix_nxn<T, N>& Matrix_nxn< T, N >::operator= (  const Matrix_nxn< T, N > &  m  )  [inline]

Copy operator. Parameters: m  Matrix to copy Complexity: n^2 Definition at line 118 of file Matrix_nxn.h. References Matrix_nxn< T, N >::content.

template<class T, size_t N> Matrix_nxn<T, N>& Matrix_nxn< T, N >::operator= (  const T *  m  )  [inline]

Copy operator. Parameters: m  Array with values to assign to this matrix Complexity: n^2 Definition at line 131 of file Matrix_nxn.h.

template<class T, size_t N> void Matrix_nxn< T, N >::copyTo (  T *  m  )  const [inline]

Copies contents of matrix to passed array. Parameters: m  Array the values are stored to Complexity: n^2 Definition at line 145 of file Matrix_nxn.h. References Vector_n< T, N >::copyTo().

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template<class T, size_t N> const Vector_n<T, N>& Matrix_nxn< T, N >::operator[] (  size_t  i  )  const [inline]

Constant row vector access operator. Parameters: i  Index of row vector to access (first row vector has index 0) Returns: Constant reference to row vector Complexity: 1 Definition at line 159 of file Matrix_nxn.h.

template<class T, size_t N> Vector_n<T, N>& Matrix_nxn< T, N >::operator[] (  size_t  i  )  [inline]

Row vector access operator. Parameters: i  Index of row vector to access (first row vector has index 0) Returns: Reference to row vector Complexity: 1 Definition at line 171 of file Matrix_nxn.h.

template<class T, size_t N> Matrix_nxn<T, N>& Matrix_nxn< T, N >::operator+= (  const Matrix_nxn< T, N > &  m  )  [inline]

Operator +=. Parameters: m  Matrix to add Complexity: n^2 Definition at line 182 of file Matrix_nxn.h. References Matrix_nxn< T, N >::content.

template<class T, size_t N> Matrix_nxn<T, N>& Matrix_nxn< T, N >::operator-= (  const Matrix_nxn< T, N > &  m  )  [inline]

Operator -=. Parameters: m  Matrix to subtract Complexity: n^2 Definition at line 195 of file Matrix_nxn.h. References Matrix_nxn< T, N >::content.

template<class T, size_t N> Matrix_nxn<T, N>& Matrix_nxn< T, N >::operator *= (  const Matrix_nxn< T, N > &  m  )  [inline]

Operator *=. Parameters: m  Matrix this matrix is to multiplied with Complexity: n^3 Definition at line 208 of file Matrix_nxn.h.

template<class T, size_t N> Matrix_nxn<T, N>& Matrix_nxn< T, N >::operator/= (  const Matrix_nxn< T, N > &  m  )  [inline]

Operator /=. Parameters: m  Matrix this matrix is to divided by Complexity: n^3 Definition at line 220 of file Matrix_nxn.h.

template<class T, size_t N> Matrix_nxn<T, N> Matrix_nxn< T, N >::transpose (   )  [inline]

Transposes this matrix. Definition at line 229 of file Matrix_nxn.h. Referenced by Matrix_nxn< T, N >::invert2().

template<class T, size_t N> Matrix_nxn<T, N> Matrix_nxn< T, N >::invert (   )  [inline]

Inverts this matrix. Matrix must not be singular Returns: Inverted matrix Definition at line 243 of file Matrix_nxn.h. References Matrix_nxn< T, N >::identity(), MVTools::isNearInf(), MVTools::isNearNegZero(), MVTools::isNearPosInf(), and MVTools::isNearZero(). Referenced by operator/().

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template<class T, size_t N> Matrix_nxn<T, N> Matrix_nxn< T, N >::invert2 (   )  [inline]

Inverts this matrix. Matrix must not be singular Returns: Inverted matrix Definition at line 363 of file Matrix_nxn.h. References e, Matrix_nxn< T, N >::solve(), and Matrix_nxn< T, N >::transpose().

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template<class T, size_t N> Vector_n<T, N> Matrix_nxn< T, N >::solve (  Vector_n< T, N >  b  )  const [inline]

Solves the system A*x=b where A is the actual matrix. Parameters: b  Vector b Returns: Solution x Complexity: n^3 Definition at line 383 of file Matrix_nxn.h. References MVTools::isNearInf(), MVTools::isNearNegZero(), MVTools::isNearPosInf(), and MVTools::isNearZero(). Referenced by VLCBallSpecialist::createBallPerceptLevenbergMarquardt(), GT2005BallSpecialist::createBallPerceptLevenbergMarquardt(), and Matrix_nxn< T, N >::invert2().

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template<class T, size_t N> T Matrix_nxn< T, N >::det (   )  const [inline]

Returns determinant of this matrix. Returns: determinant Complexity: n^3 Definition at line 538 of file Matrix_nxn.h. References MVTools::isNearInf(), MVTools::isNearPosInf(), and MVTools::isNearZero().

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template<class T, size_t N> Matrix_nxn<T, N> Matrix_nxn< T, N >::identity (   )  [inline, static]

Returns the identity matrix with same dimensions like this matrix. Returns: nxn identity matrix Definition at line 648 of file Matrix_nxn.h. Referenced by Matrix_nxn< T, N >::invert().

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Member Data Documentation

template<class T, size_t N> Vector_n<T, N>* Matrix_nxn< T, N >::content [private]

The vectors holding the contents of the matrix. Definition at line 659 of file Matrix_nxn.h. Referenced by Matrix_nxn< T, N >::operator+=(), Matrix_nxn< T, N >::operator-=(), and Matrix_nxn< T, N >::operator=().

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The documentation for this class was generated from the following file:

• Tools/Math/Matrix_nxn.h

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